Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Complex Numbers and Quadratic Equations |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Complex Numbers and Quadratic Equations
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The square root of a negative real number is not a real number.
Reason (R): The square of any real number is always non-negative.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q2. Assertion (A): The conjugate of a complex number $z=a+i b$ is $\bar{z}=a-i b$.
Reason (R): The modulus of a complex number is given by $|z|=\sqrt{a^2+b^2}$.
Answer: (b) Both A and $R$ are true, but $R$ is not the correct explanation of $A$.
Difficulty Level: Moderate
Q3. Assertion (A): For any complex number $z$, we have $z \cdot \bar{z}=|z|^2$.
Reason (R): Multiplying a complex number with its conjugate results in a real number.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q4. Assertion (A): The equation $x^2+4=0$ has two distinct real roots.
Reason (R): The discriminant of the equation is negative.
Answer: (d) A is false, but $R$ is true.
Difficulty Level: Tough
Q5. Assertion (A): If $\alpha$ and $\beta$ are roots of the quadratic equation $a x^2+b x+c=0$, then $\alpha+\beta=-\frac{b}{a}$. Reason (R): The sum and product of the roots can be derived using factorization method only.
Answer: (c) Assertion is true, but Reason is false.
Difficulty Level: Moderate
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Complex Numbers
- Algebra of Complex Numbers
- Quadratic Equations
Complex numbers extend the real number system and solve non-real equations.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Complex Numbers and Quadratic Equations Assertion Reason Questions Class 11
Q1: What does the chapter ‘Complex Numbers and Quadratic Equations’ cover?
A1: It introduces and builds core mathematical concepts related to complex numbers and quadratic equations.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Complex Numbers and Quadratic Equations?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
